University of Jyväskylä

Contact information

Pekka Koskela
Department of Mathematics and Statistics
P.O. Box 35
FI-40014 University of Jyväskylä

tel. +358 40 8053433

Pekka Koskela

Research Interests

Geometric Analysis:
Quasiconformal and quasiregular mappings
Mappings of finite distortion and the necessary non-linear analysis
Sobolev-type inequalities in irregular domains
Analysis on metric spaces

Selected publications

J.Heinonen and P.Koskela, ``Definitions of quasiconformality,'' Invent. Math. 120 (1995), 61--79.

P.Hajlasz and P.Koskela, ``Sobolev meets Poincare,'' C. R. Acad. Sci. Paris 320 (1995), 1211--1215.

J.Heinonen and P.Koskela, ``Quasiconformal maps in metric spaces with controlled geometry,'' Acta Math. 181 (1998), 1--61.

P.Hajlasz and P.Koskela, ``Sobolev met Poincare,'' Mem. Amer. Math. Soc. 145 (2000), no. 688, 101 pp.

T.Iwaniec, P.Koskela and J.Onninen, ``Mappings of finite distortion: Monotonicity and continuity,'' Invent. Math. 144 (2001), no. 3, 507--531.

P.Hajlasz and P.Koskela, Formation of cracks under elastic deformations,'' Calc. Var. 19 (2004), 221--227.

S.Hencl and P.Koskela, ``The regularity of the inverse of a planar Sobolev homeomorphism,'' Arch. Ration. Mech. Anal. 180 (2006), 75--95.

Z.Balogh, P.Koskela and S.Rogovin, ``Absolute continuity of quasiconformal mappings on curves,'' Geom. Funct. Anal. 17 (2007), 645--664.

S.Hencl, P.Koskela and J.Onninen ,``Homeomorphisms of bounded variation,'' Arch. Ration. Mech. Anal. 186 (2007), 351--360.

P.Hajlasz, P.Koskela and H.Tuominen, ``Sobolev embeddings, extensions and measure density condition,'' J. Funct. Anal. 254 (2008), 1217--1234.

P.Koskela, D.Yang and Y.Zhou, ``Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings,'' Adv. Math. 226 (2011), 3579--3621.

R.Jiang and P.Koskela, ``Isoperimetric inequality from the Poisson equation via curvature,'' Comm. Pure Appl. Math. 65 (2012), 1145--1168.

P.Koskela and Y.Zhou, ``Geometry and analysis of Dirichlet forms,'' Adv. Math. 231 (2012), 2755--2801.

A.Kauranen and P.Koskela, ``Boundary blow-up under Sobolev mappings,'' Anal. PDE 7 (2014), 1839--1850.

P.Koskela and Y.R.-Y.Zhang, ``A density problem for Sobolev spaces on planar domains,'' Arch. Ration. Mech. Anal. 222 (2016), 1--14.

T.Coulhon, J.Renjin, P.Koskela and A.Sikora, ``Gradient estimates for heat kernels and harmonic functions,'' J. Funct. Anal. 278 (2020), 108398, 67 pp.

List of publications

Lectures on quasiconformal and quasisymmetric mappings


Annales Fennici Mathematici

Bolletino dell'Unione Matematica Italiana

Conformal Geometry and Dynamics


Tbilisi Mathematical Journal